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Finding the Fourth Proportional to 142.50, 212.47 and 140.68

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Solution

The fourth proportional to 142.50, 212.47 and 140.68 is: 209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 212.47 = 140.68 : x
  2. Step 2: Convert to fraction form
    142.50/212.47 = 140.68/x
  3. Step 3: Cross multiply
    142.50x = 212.47 × 140.68
  4. Step 4: Simplify right side
    142.50x = 29,890.28
  5. Step 5: Solve for x
    x = 29,890.28/142.50
  6. Step 6: Final answer
    x = 209.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.